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4 years ago

Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and four

Mathematics

1 answer:

sergejj [24]4 years ago

4 0

Answer:

6 for one CD and 5 for one DVD

Step-by-step explanation:

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the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference

adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: $a=2$

Sum of first 15 terms: $S_{15}=292.5$

The formula of sum of first n terms of an AP is

$S_n=\dfrac{n}{2}[2a+(n-1)d]$

Where, a is first term and d is common difference.

Putting $S_{15}=292.5$ , n=15 and a=2 in the above formula, we get

$292.5=\dfrac{15}{2}[2(2)+(15-1)d]$

$292.5=\dfrac{15}{2}[4+14d]$

$292.5=15[2+7d]$

Divide both sides by 15.

$\dfrac{292.5}{15}=2+7d$

$19.5=2+7d$

$19.5-2=7d$

$17.5=7d$

Dividing both sides by 7, we get

$\dfrac{17.5}{7}=d$

$2.5=d$

Therefore, the common difference is 2.5.

8 0

3 years ago

Please answer this correctly

Contact [7]

Answer:

3 4, 5 0 6

Step-by-step explanation:

88,946 - 54,440 = 34,506

So missing number :

3 4, 5 0 6

8 0

3 years ago

Read 2 more answers

726 estimated thank you , vicky

malfutka [58]

726 to the hundred's is 700
726 to the ten's is 730

6 0

3 years ago

Normal form [see attachment]

musickatia [10]

I just did one of these. I guessed that normal form is

$x \cos \phi + y \sin \phi - p = 0$

Here' that's

$x (\sqrt{3}/2) + y (1/2) - 10 = 0$

$\sqrt{3} x + y - 20 = 0$

Choice b

4 0

3 years ago

If the frequency of a sound decreases, what happens to the wavelength?

madam [21]

Answer: The wavelength increases

Step-by-step explanation:

As frequency increases, wavelength decreases. Frequency and wavelength are inversely proportional. This basically means that when the wavelength is increased, the frequency decreases and vice versa.

Hope that this helps! Have a great day!

7 0

3 years ago